On Algebraic condition for null controllability of some coupled degenerate systems
Optimization and Control
2017-05-10 v1
Abstract
In this paper we will generalize the Kalman rank condition for the null controllability to -coupled linear degenerate parabolic systems with constant coefficients, diagonalizable diffusion matrix, and -controls. For that we prove a global Carleman estimate of the solution of a scalar -order equation then we infer from it an observability inequality for the corresponding adjoint system, and thus the null controllability.
Keywords
Cite
@article{arxiv.1705.03044,
title = {On Algebraic condition for null controllability of some coupled degenerate systems},
author = {E. M. Ait Benhassi and M. Fadili and L. Maniar},
journal= {arXiv preprint arXiv:1705.03044},
year = {2017}
}